Spring validation ConstraintViolationException cannot be caught using ControllerAdvice - spring-mvc

Question

I am building APIs with spring rest and trying to validate the input parameters, like this:
#RequestMapping("/myUrl")
#RestController
#Validated
public class MyController {
#ResponseStatus(HttpStatus.OK)
#RequestMapping(value = "getSomething", method = RequestMethod.GET, produces = {MediaType.APPLICATION_JSON_VALUE})
public myResponse getMarketResult(
#RequestParam #NotNull #NotBlank #NotEmpty String inputParam) {
//...my implementation
}
}
The validation does work in all these scenarios (null, blanks, empty).
MissingServletRequestParameterException is thrown for null, ConstraintViolationException is thrown for blanks/empty.
Controller advice:
#ControllerAdvice
public class ControllerValidationHandler extends ResponseEntityExceptionHandler {
#ExceptionHandler(NestedServletException.class)
public ResponseEntity<Object> processValidationError(NestedServletException ex, HttpStatus status, WebRequest request) {
// my implementation
}
#ExceptionHandler(ConstraintViolationException.class)
public ResponseEntity<Object> processValidationError(ConstraintViolationException ex, HttpStatus status, WebRequest request) {
// my implementation
}
#Override
protected ResponseEntity<Object> handleMissingServletRequestParameter(MissingServletRequestParameterException ex, HttpHeaders headers, HttpStatus status, WebRequest request) {
// my implementation
}
#ExceptionHandler(Exception.class)
public ResponseEntity<Object> handleExpception(HttpServletRequest req, Exception ex, WebRequest request) {
// my implementation
}
However I observe:
ConstraintViolationException is thrown as the cause of org.springframework.web.util.NestedServletException.
ControllerAdvice is unable to catch ConstraintViolationException and NestedServletException (But MissingServletRequestParameterException works), it's now returning a html (instead of json).
The 2 exceptions are not processed by 'handleException' of ResponseEntityExceptionHandler as well.
How do I solve 1 and 2? I'm using Spring version 4.3.1
Edit 1:
One more example, if I have a parameter like this:
#RequestParam #DateTimeFormat(iso = DateTimeFormat.ISO.DATE) #NotNull LocalDate localDate
Expcetion is thrown as mentioned in (1) when the request is empty (eg '/myURL/getSomething?localDate='